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Why should anyone care about computing with anyons?

In this talk Jiannis Pachos discusses a variety of different topics starting from characterizing knot invariants, their quantum simulation with exotic particles called anyons and finally the possible realization of anyons in the laboratory.

Combining physics, mathematics and computer science, topological quantum computation is a rapidly expanding field of research focused on the exploration of quantum evolutions that are resilient to errors.

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The interdisciplinary workshop brings together experts in quantum science, as e.g. quantum information theory, quantum chemistry, solid state physics and mathematical physics. The aim is to explore from a conceptual viewpoint the influence of the fermionic exchange symmetry and its consequences for the reduced 1-and 2-fermion picture. In particular, a better understanding should be developed of how the conflict of energy minimization and antisymmetry of the N-fermion quantum state leads to...